Synchronization of Complex Networks with Time-Varying Coupling Delay via Impulsive Control

被引:0
作者
Dai, Yang [1 ]
Cai, Yunze [1 ]
Xu, Xiaoming [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai, Peoples R China
来源
COMPLEX SCIENCES, PT 1 | 2009年 / 4卷
关键词
Complex Networks; Impulsive Control; Synchronization; Delay; DYNAMICAL NETWORKS; SYSTEMS; STABILITY;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Impulsive control and exponential synchronization analysis of a class of complex networks with time-varying coupling delay is investigated in this paper. Our aim is to enhance the synchronizability of the complex networks by applying impulsive control. By introducing a comparison system and estimating the corresponding Cauchy matrix sufficient conditions on global exponential synchronization are derived. An impulsive controller is explicitly designed not only to achieve synchronized dynamics for the complex networks, but simultaneously to ensure the states of synchronous error converging with a given decay rate. A numerical example is presented to illustrate the theoretical results and proposed controller design procedure.
引用
收藏
页码:912 / 923
页数:12
相关论文
共 25 条
[1]  
[Anonymous], 2000, Small worlds: The dynamics of networks between order and randomness
[2]  
[Anonymous], 2002, Synchronization in coupled chaotic circuits and systems
[3]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[4]   Complex networks: Structure and dynamics [J].
Boccaletti, S. ;
Latora, V. ;
Moreno, Y. ;
Chavez, M. ;
Hwang, D. -U. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308
[5]   Synchronization criteria for complex dynamical networks with neutral-type coupling delay [J].
Dai, Yang ;
Cai, Yunze ;
Xu, Xiaoming .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (18) :4673-4682
[6]  
Horn R. A., 2013, Matrix analysis, Vsecond
[7]   Adaptive-impulsive synchronization of uncertain complex dynamical networks [J].
Li, K. ;
Lai, C. H. .
PHYSICS LETTERS A, 2008, 372 (10) :1601-1606
[8]   Stabilisation and synchronisation of chaotic systems via hybrid control [J].
Li, P. ;
Cao, J. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (03) :795-801
[9]   Pinning a complex dynamical network to its equilibrium [J].
Li, X ;
Wang, XF ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (10) :2074-2087
[10]   Global synchronization and asymptotic stability of complex dynamical networks [J].
Li, Z ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (01) :28-33